Atkin-Lehner |
2+ 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
9568b |
Isogeny class |
Conductor |
9568 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
640 |
Modular degree for the optimal curve |
Δ |
-248768 = -1 · 26 · 132 · 23 |
Discriminant |
Eigenvalues |
2+ 0 -2 -2 -4 13- -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1,-24] |
[a1,a2,a3,a4,a6] |
Generators |
[4:6:1] [11:36:1] |
Generators of the group modulo torsion |
j |
-1728/3887 |
j-invariant |
L |
5.0892472136384 |
L(r)(E,1)/r! |
Ω |
1.4123883245611 |
Real period |
R |
3.6032917612934 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9568e1 19136q1 86112bp1 124384i1 |
Quadratic twists by: -4 8 -3 13 |